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Finding the Fourth Proportional to 1,409.68, 2,117.20 and 1,348.24

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Solution

The fourth proportional to 1,409.68, 2,117.20 and 1,348.24 is: 2,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.68 : 2,117.20 = 1,348.24 : x
  2. Step 2: Convert to fraction form
    1,409.68/2,117.20 = 1,348.24/x
  3. Step 3: Cross multiply
    1,409.68x = 2,117.20 × 1,348.24
  4. Step 4: Simplify right side
    1,409.68x = 2,854,493.73
  5. Step 5: Solve for x
    x = 2,854,493.73/1,409.68
  6. Step 6: Final answer
    x = 2,024.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.